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Finding the Fourth Proportional to 2,157.98, 2,976.41 and 1,598.47

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Solution

The fourth proportional to 2,157.98, 2,976.41 and 1,598.47 is: 2,204.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.98 : 2,976.41 = 1,598.47 : x
  2. Step 2: Convert to fraction form
    2,157.98/2,976.41 = 1,598.47/x
  3. Step 3: Cross multiply
    2,157.98x = 2,976.41 × 1,598.47
  4. Step 4: Simplify right side
    2,157.98x = 4,757,698.65
  5. Step 5: Solve for x
    x = 4,757,698.65/2,157.98
  6. Step 6: Final answer
    x = 2,204.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.